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Finding the Fourth Proportional to 552.72, 828.73 and 278.44

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Solution

The fourth proportional to 552.72, 828.73 and 278.44 is: 417.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.72 : 828.73 = 278.44 : x
  2. Step 2: Convert to fraction form
    552.72/828.73 = 278.44/x
  3. Step 3: Cross multiply
    552.72x = 828.73 × 278.44
  4. Step 4: Simplify right side
    552.72x = 230,749.86
  5. Step 5: Solve for x
    x = 230,749.86/552.72
  6. Step 6: Final answer
    x = 417.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.